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Finding the Third Proportional to 69,740 and 149,056

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Solution

The third proportional to 69,740 and 149,056 is: 318,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,740 : 149,056 = 149,056 : x
  2. Step 2: Convert to fraction form
    69,740/149,056 = 149,056/x
  3. Step 3: Cross multiply
    69,740x = 149,056 × 149,056
  4. Step 4: Simplify right side
    69,740x = 22,217,691,136
  5. Step 5: Solve for x
    x = 22,217,691,136/69,740
  6. Step 6: Final answer
    x = 318,578.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.